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Functions : Derivatives, Areas of Increase and Extrema

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Suppose f(x) = ln(2 + cos x) on the interval (0, 2pi).

a) Calculate f' (x) and f" (x).

b) Find the interval(s) on which the function f is increasing.

c) Find all extreme values of f and the values of x at which they occur.

d) Find the interval(s) on which the function f is concave up?

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